Modelling carried out by Professor Shaun Hendy and his team for the Government showed a worst-case scenario of 16,000 weekly cases over the summer, but director general of health Dr Ashley Bloomfield has said New Zealand is not likely to hit that number.
"Again a lot of this is very unknown at the moment," Betty said.
"We're walking into uncharted territory at the moment as to what's going to happen with Covid, what the demands on the system will be.
"There's a lot of variables in terms of what could potentially happen."
The Auckland border is scheduled to open up for vaccinated or tested people on December 15.
"There is concern over the borders in Auckland coming down just before Christmas at a time when service levels at general practices are usually reduced due to the Christmas-New Year holiday period," Betty said.
"So if Covid does spread throughout the country and there is a surge in cases, how the system will cope with that."
"I think the thinking is around how do you maintain service if there is increased demand or increased need for demand in terms of possible Covid cases?
"So what's happening in local areas is planning or thinking around that and how service is maintained at that time."
Covid-19 cases are starting to spread around the country, with cases erupting in Wellington, Bay of Plenty, Rotorua, Masterton and more in the past seven days.
There were 172 new community cases announced today.